All Exams Test series for 1 year @ ₹349 only
Question

A column transmits a load of 225 kN to a square footing. The safe bearing capacity of the soil is 100 kN/m$^2$. The minimum length (in m) of the side of this safe square footing is _____________ (rounded off to one decimal place).

Footing Size Calculation Basics

To determine the minimum size of the square footing, we need to ensure the pressure exerted on the soil does not exceed its Safe Bearing Capacity (SBC).

Required Area Calculation

The area of the footing must be sufficient to distribute the column load evenly over the soil.

The formula relating load ($P$), Safe Bearing Capacity ($q_{safe}$), and the required Area ($A$) is:

$ A = \frac{P}{q_{safe}} $

Given:

  • Load ($P$) = 225 kN
  • Safe Bearing Capacity ($q_{safe}$) = 100 kN/m$^2$

Substituting the values:

$ A = \frac{225 \text{ kN}}{100 \text{ kN/m}^2} = 2.25 \text{ m}^2 $

Square Footing Dimension

For a square footing with side length $B$, the area is given by $A = B^2$. We need to find the minimum length $B$.

$ B^2 = A $

$ B^2 = 2.25 \text{ m}^2 $

Solving for $B$:

$ B = \sqrt{2.25 \text{ m}^2} $

$ B = 1.5 \text{ m} $

Final Result

The calculated minimum length of the side of the square footing is 1.5 m. Rounding to one decimal place, the value remains 1.5 m.

Was this answer helpful?

Important Questions from Foundations

  1. The live load and dead load in a three storeyed residential building, transferred through a single column, is 12 tons and 18 tons respectively. If the soil bearing capacity is 10 ton/sqm and the factor of safety is 1.5, the area of column footing is ______sqm (up to one decimal place).

  2. Particles of soil in descending order of grain size is
  3. Which of the following is/are example(s) of Concrete Cased Pile?
Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App